Topology Atlas | Conferences

KNOTS in WASHINGTON XII Conference on Knot Theory and its Ramifications
May 10-12, 2001
George Washington University
Washington, DC, USA

Organizers
Dubravko Ivansic, Ilya Kofman, Jozef H. Przytycki, Yongwu Rong, Akira Yasuhara

Conference Homepage


The Lie algebra of curves on surfaces
by
Bill Goldman
University of Maryland

This talk will expound the Lie bialgebra based on oriented curves on an oriented surface. This Lie algebra was originally defined because of its representation in the Poisson algebra of the GL(n)-character variety of a compact surface. The Lie cobracket was discovered by Turaev. I will survey recent results on this Lie algebra and in particular discuss the relationship of acommutativity to disjointness.

http://www.math.umd.edu/~wmg

Date received: May 8, 2001

Copyright © 2001 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cahj-09.